Examples.Basics.BasicTests:f1 from sbv-4.4

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample4.1s (67%)

Memory
-260.7MiB live, 1 254.7MiB allocated; 3.8s collecting garbage
Samples
447.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-mult: 81.0ms (44.7% of total)
ival-add: 50.0ms (27.6% of total)
ival-sub: 46.0ms (25.4% of total)
adjust: 2.0ms (1.1% of total)
ival-assert: 2.0ms (1.1% of total)
Bogosity

explain97.0ms (1.6%)

Memory
-29.8MiB live, 125.0MiB allocated; 35ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (+.f64 x y) (-.f64 x y))
00-0-(+.f64 x y)
00-0-(-.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
22.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (30.5% of total)
ival-add: 3.0ms (30.5% of total)
ival-mult: 3.0ms (30.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess185.0ms (3%)

Memory
-1.2MiB live, 183.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
14145
210642
336742
460342
5113042
6205242
7301942
8332542
9340342
10340342
11358742
057
087
1137
2317
31027
42547
54407
68687
714047
820887
929047
1032147
1132767
1232767
1333547
033547
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify70.0ms (1.2%)

Memory
36.0MiB live, 126.1MiB allocated; 8ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (-.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
23115
310215
425415
544015
686815
7140415
8208815
9290415
10321415
11327615
12327615
13335415
0335415
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
x
y
(-.f64 x y)
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 x y)

localize28.0ms (0.5%)

Memory
5.6MiB live, 61.0MiB allocated; 7ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 (+.f64 x y) (-.f64 x y))
Samples
23.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 14.0ms (81.9% of total)
ival-mult: 2.0ms (11.7% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-35.0MiB live, 9.4MiB allocated; 4ms collecting garbage
Counts
3 → 28
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
Outputs
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (+ x y) (- x y)) (+ x y) (- x y))
1.0ms
y
@inf
((* (+ x y) (- x y)) (+ x y) (- x y))
1.0ms
x
@-inf
((* (+ x y) (- x y)) (+ x y) (- x y))
0.0ms
y
@-inf
((* (+ x y) (- x y)) (+ x y) (- x y))
0.0ms
x
@0
((* (+ x y) (- x y)) (+ x y) (- x y))

simplify217.0ms (3.5%)

Memory
23.5MiB live, 304.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115369
1314331
21106325
37769325
08383319
Stop Event
1×iter limit
1×node limit
Counts
28 → 28
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) y)
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) x)
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) x)
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))

rewrite266.0ms (4.3%)

Memory
8.4MiB live, 203.3MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
12713
222213
3597413
0814113
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 427
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(+.f64 x y)
(-.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
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(*.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 x y) (+.f64 y x))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(/.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (+.f64 y x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 y x)) (*.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (+.f64 y x)) (*.f64 (neg.f64 (+.f64 y x)) (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (-.f64 x y)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 x y)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(/.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 y x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)))
(/.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (+.f64 y x) (/.f64 (+.f64 y x) (-.f64 x y)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (neg.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (fabs.f64 x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 x (-.f64 x y)) (/.f64 x (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 x y)
(+.f64 (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y x) y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (-.f64 y x) y)))
(+.f64 (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))

eval143.0ms (2.3%)

Memory
3.5MiB live, 132.4MiB allocated; 62ms collecting garbage
Compiler

Compiled 10 732 to 1 173 computations (89.1% saved)

prune19.0ms (0.3%)

Memory
-2.0MiB live, 40.1MiB allocated; 14ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4402442
Fresh000
Picked101
Done000
Total4412443
Accuracy
100.0%
Counts
443 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.1%
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
▶54.3%
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify100.0ms (1.6%)

Memory
-8.3MiB live, 97.9MiB allocated; 42ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
01334
12334
25434
315034
430434
560734
6116334
7176934
8213634
9295834
10323134
11328334
12328334
13335934
0335934
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y

localize24.0ms (0.4%)

Memory
1.7MiB live, 49.0MiB allocated; 4ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 y) y)
accuracy0.0
(neg.f64 y)
accuracy29.374734206195946
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
accuracy0.0
(*.f64 x x)
accuracy29.24160933269551
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Samples
19.0ms256×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (53.7% of total)
ival-add: 2.0ms (21.5% of total)
ival-sub: 1.0ms (10.7% of total)
ival-neg: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
5 → 16
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
1.0ms
y
@-inf
((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
1.0ms
x
@inf
((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
0.0ms
x
@-inf
((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))
0.0ms
y
@0
((* (+ x y) (- x y)) (* x x) (* (+ x y) (- x y)) (* (neg y) y) (neg y))

simplify402.0ms (6.6%)

Memory
9.3MiB live, 382.8MiB allocated; 126ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085258
1245222
21011216
08359214
Stop Event
1×iter limit
1×node limit
Counts
16 → 16
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
Outputs
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (* -1 x))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))))
#s(approx (* (+ x y) (- x y)) (*.f64 (-.f64 x y) (+.f64 y x)))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (neg y) (neg.f64 y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) #s(hole binary64 (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))))
#s(approx (* (+ x y) (- x y)) (*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y))

rewrite124.0ms (2%)

Memory
-15.8MiB live, 219.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01332
14132
225632
3671932
0807432
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 90
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) (+.f64 y x)))) (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) (+.f64 y x)))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) (+.f64 y x)))) (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) (+.f64 y x)))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (+.f64 y x))) (pow.f64 (*.f64 x x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 y (+.f64 y x))) (pow.f64 (*.f64 x x) (/.f64 x (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 x (+.f64 y x))) (pow.f64 (*.f64 x x) (/.f64 y (+.f64 y x))))
(*.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x)))) (pow.f64 (*.f64 x x) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 x y) (+.f64 y x)))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 x) x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x y)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)))) (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)))) (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y y (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 y x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)))) (*.f64 (-.f64 x y) (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (-.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 y x)))) (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (-.f64 y x))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x)))) (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (+.f64 (neg.f64 x) y))) (/.f64 (+.f64 y x) (-.f64 (neg.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (+.f64 (neg.f64 x) y))) (/.f64 (-.f64 x y) (-.f64 (neg.f64 x) y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) (/.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 (neg.f64 x) y) (-.f64 x y))) (/.f64 (-.f64 (neg.f64 x) y) (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 (neg.f64 x) y) (+.f64 y x))) (/.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) (+.f64 y x))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 x y) (+.f64 y x))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (-.f64 x y))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (-.f64 x y))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)) (+.f64 y x))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (-.f64 x y))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (+.f64 y x))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (-.f64 x y) (+.f64 y x))) (/.f64 (+.f64 y x) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (-.f64 x y) (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 x y) (fma.f64 (-.f64 x y) x (*.f64 y y))) #s(literal 1 binary64))) (/.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (+.f64 (neg.f64 x) y)) (/.f64 (-.f64 (neg.f64 x) y) (*.f64 (-.f64 x y) (+.f64 y x))))
(pow.f64 (pow.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (+.f64 y x) (*.f64 (-.f64 x y) (+.f64 y x))))
(pow.f64 (pow.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (/.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
(pow.f64 (pow.f64 (*.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 y x))))
(pow.f64 (pow.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (/.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x)))) (pow.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 x y) (+.f64 y x)))))
(/.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (+.f64 y x))) (pow.f64 (*.f64 x x) (/.f64 (*.f64 y (/.f64 y (-.f64 x y))) (+.f64 y x))))
(/.f64 (pow.f64 (*.f64 x x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 x y))) (pow.f64 (*.f64 x x) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (-.f64 x y))))
(/.f64 (pow.f64 (*.f64 x x) (/.f64 (*.f64 x (/.f64 x (+.f64 y x))) (-.f64 x y))) (pow.f64 (*.f64 x x) (/.f64 (*.f64 y (/.f64 y (+.f64 y x))) (-.f64 x y))))
(/.f64 (pow.f64 (*.f64 x x) (/.f64 x (-.f64 x y))) (pow.f64 (*.f64 x x) (/.f64 y (-.f64 x y))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(neg.f64 y)

eval12.0ms (0.2%)

Memory
30.4MiB live, 30.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 666 to 413 computations (84.5% saved)

prune4.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked022
Done000
Total96298
Accuracy
100.0%
Counts
98 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.1%
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
✓54.3%
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Compiler

Compiled 53 to 28 computations (47.2% saved)

regimes40.0ms (0.7%)

Memory
-46.8MiB live, 11.0MiB allocated; 4ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
(*.f64 (+.f64 x y) (-.f64 x y))
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
Calls

3 calls:

37.0ms
y
2.0ms
x
1.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1(*.f64 (+.f64 x y) (-.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%2(*.f64 (+.f64 x y) (-.f64 x y))
82.9%2x
76.5%2y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Outputs
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (+.f64 x y) (-.f64 x y))
Results
AccuracySegmentsBranch
54.3%1y
54.3%1x
54.3%1(*.f64 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.29241e-318
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

simplify56.0ms (0.9%)

Memory
-18.2MiB live, 29.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01651
12951
25151
312151
427351
545951
688551
7141951
8210351
9293351
10324351
11330551
12330551
13338351
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))
Outputs
(*.f64 (+.f64 x y) (-.f64 x y))
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal -101201/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (* (+ x y) (- x y)) (*.f64 (neg.f64 y) y)) #s(approx (* (+ x y) (- x y)) (*.f64 x x)))
#s(approx (* (+ x y) (- x y)) (*.f64 x x))

derivations193.0ms (3.2%)

Memory
-2.0MiB live, 89.5MiB allocated; 6ms collecting garbage
Stop Event
1×done
Compiler

Compiled 51 to 16 computations (68.6% saved)

preprocess17.0ms (0.3%)

Memory
33.0MiB live, 33.0MiB allocated; 0ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 172 to 82 computations (52.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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